Re: Cubic B-Spline to Bézier
- From: noskosteve@xxxxxxxxx
- Date: Sat, 18 Apr 2009 19:13:11 -0700 (PDT)
On Apr 18, 12:03 am, noskost...@xxxxxxxxx wrote:
On Apr 5, 1:40 pm, Gerhans <gerh...@xxxxxxxxx> wrote:
...To summarize, I am attempting to render uniform, open (non-periodic)
cubic b-splines using a Postscript-style renderer which supports cubic
and quadratic Béziers....[snip...]
Been several years since posting on cga.
Gerhans,
Translating from b-spline control points for use in a Cubic Bezier
display processor is a simple transformaton of control points
(periodic or not). This doesn't actually require inserting any new
data, just computing the Bezier control points four at a time for each
segment. As long as the Postscript engine has CUBIC Bezier (requiring
four control points per segment) this is simple. Email noskosteve at
yahoo (preferred) or google and I'll send you an excerpt from my study
that covers it.
I studied Piecewise Polynomial Interpolation in great depth as it
applies to graphics to use for my laser light show system. I just
don't have formal training in the graphics jargon to use it with
confidence (knot vector etc.).
I'm proofreading for the last time and will post the complete results
of my study on my site. Among other things, It explains the process
and shows control point translatons beteen many of the common curve
types as well as a collection of all the common curve types with
descriptions / demonstrations of behavior.
Steve N.
k9dci.home.comcast.net
.
- References:
- Cubic B-Spline to Bézier
- From: Gerhans
- Re: Cubic B-Spline to Bézier
- From: noskosteve
- Cubic B-Spline to Bézier
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